%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO587+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:53:00 AM UTC 2026
% Result : Theorem 6.10s 1.96s
% Output : Refutation 8.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 17
% Syntax : Number of formulae : 99 ( 10 unt; 2 def)
% Number of atoms : 272 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 293 ( 120 ~; 114 |; 41 &)
% ( 2 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 3 prp; 0-8 aty)
% Number of functors : 9 ( 9 usr; 9 con; 0-0 aty)
% Number of variables : 392 ( 0 sgn 374 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD8) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X0,X1,X2,X3)
& perp(X2,X3,X4,X5) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD9) ).
fof(f17,axiom,
! [X0,X1,X2,X3,X4] :
( ( cyclic(X0,X1,X2,X3)
& cyclic(X0,X1,X2,X4) )
=> cyclic(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD17) ).
fof(f19,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD19) ).
fof(f21,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD21) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD23) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD24) ).
fof(f39,axiom,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD39) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD40) ).
fof(f41,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD41) ).
fof(f42,axiom,
! [X0,X1,X2,X3] :
( ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
& ~ coll(X2,X3,X0) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD42a) ).
fof(f43,axiom,
! [X0,X1,X2,X3] :
( ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
& coll(X2,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD42b) ).
fof(f44,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( cyclic(X0,X1,X2,X3)
& cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X5)
& eqangle(X2,X0,X2,X1,X5,X3,X5,X4) )
=> cong(X0,X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD43) ).
fof(f57,axiom,
! [X0,X1,X2,X3] :
( ( cong(X0,X2,X1,X2)
& cong(X0,X3,X1,X3) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD56) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( perp(X0,X1,X2,X3)
& midp(X4,X2,X0)
& midp(X5,X1,X2)
& midp(X6,X3,X1)
& midp(X7,X0,X3)
& coll(X8,X4,X6)
& coll(X8,X5,X7) )
=> cong(X8,X7,X8,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416049) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( perp(X0,X1,X2,X3)
& midp(X4,X2,X0)
& midp(X5,X1,X2)
& midp(X6,X3,X1)
& midp(X7,X0,X3)
& coll(X8,X4,X6)
& coll(X8,X5,X7) )
=> cong(X8,X7,X8,X6) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f108,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f9]) ).
fof(f109,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5) ),
inference(flattening,[],[f108]) ).
fof(f120,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4) ),
inference(ennf_transformation,[],[f17]) ).
fof(f121,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4) ),
inference(flattening,[],[f120]) ).
fof(f123,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f19]) ).
fof(f125,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f21]) ).
fof(f128,plain,
! [X0,X1,X2,X3] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f23]) ).
fof(f129,plain,
! [X0,X1,X2,X3] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f24]) ).
fof(f148,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f39]) ).
fof(f149,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f40]) ).
fof(f150,plain,
! [X0,X1,X2,X3] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f41]) ).
fof(f151,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| coll(X2,X3,X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f152,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| coll(X2,X3,X0) ),
inference(flattening,[],[f151]) ).
fof(f153,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ coll(X2,X3,X1) ),
inference(ennf_transformation,[],[f43]) ).
fof(f154,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ coll(X2,X3,X1) ),
inference(flattening,[],[f153]) ).
fof(f155,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4) ),
inference(ennf_transformation,[],[f44]) ).
fof(f156,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4) ),
inference(flattening,[],[f155]) ).
fof(f180,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X2,X1,X2)
| ~ cong(X0,X3,X1,X3) ),
inference(ennf_transformation,[],[f57]) ).
fof(f181,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X2,X1,X2)
| ~ cong(X0,X3,X1,X3) ),
inference(flattening,[],[f180]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ cong(X8,X7,X8,X6)
& perp(X0,X1,X2,X3)
& midp(X4,X2,X0)
& midp(X5,X1,X2)
& midp(X6,X3,X1)
& midp(X7,X0,X3)
& coll(X8,X4,X6)
& coll(X8,X5,X7) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ cong(X8,X7,X8,X6)
& perp(X0,X1,X2,X3)
& midp(X4,X2,X0)
& midp(X5,X1,X2)
& midp(X6,X3,X1)
& midp(X7,X0,X3)
& coll(X8,X4,X6)
& coll(X8,X5,X7) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( ~ cong(sK28,sK27,sK28,sK26)
& perp(sK20,sK21,sK22,sK23)
& midp(sK24,sK22,sK20)
& midp(sK25,sK21,sK22)
& midp(sK26,sK23,sK21)
& midp(sK27,sK20,sK23)
& coll(sK28,sK24,sK26)
& coll(sK28,sK25,sK27) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26),skolemize(X7,sK27),skolemize(X8,sK28)],[f250]) ).
fof(f278,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f279,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f109]) ).
fof(f287,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f121]) ).
fof(f289,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(cnf_transformation,[],[f123]) ).
fof(f291,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f125]) ).
fof(f293,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f128]) ).
fof(f294,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f129]) ).
fof(f309,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f148]) ).
fof(f310,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f149]) ).
fof(f311,plain,
! [X2,X3,X0,X1] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f150]) ).
fof(f312,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f313,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1) ),
inference(cnf_transformation,[],[f154]) ).
fof(f314,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X5)
| cong(X0,X1,X3,X4) ),
inference(cnf_transformation,[],[f156]) ).
fof(f327,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f181]) ).
fof(f390,plain,
perp(sK20,sK21,sK22,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f391,plain,
~ cong(sK28,sK27,sK28,sK26),
inference(cnf_transformation,[],[f270]) ).
fof(f392,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X0,X1) ),
inference(resolution,[],[f311,f314]) ).
fof(f393,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| cong(X0,X1,X0,X1) ),
inference(duplicate_literal_removal,[],[f392]) ).
fof(f394,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X1,X3,X0,X3)
| ~ cyclic(X1,X3,X0,X2)
| ~ para(X0,X1,X0,X2)
| ~ cyclic(X1,X3,X0,X0)
| cong(X1,X3,X2,X3) ),
inference(resolution,[],[f310,f314]) ).
fof(f401,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X2,X3,X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5) ),
inference(resolution,[],[f289,f310]) ).
fof(f416,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X2,X3,X4,X5,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[],[f291,f310]) ).
fof(f428,plain,
! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ coll(X1,X2,X0)
| ~ para(X1,X0,X1,X0) ),
inference(resolution,[],[f313,f416]) ).
fof(f431,plain,
perp(sK22,sK23,sK20,sK21),
inference(resolution,[],[f278,f390]) ).
fof(f437,plain,
! [X2,X3,X0,X1] :
( para(X0,X1,X0,X1)
| ~ para(X2,X3,X2,X3) ),
inference(resolution,[],[f309,f401]) ).
fof(f439,definition,
( spl29_1
<=> ! [X2,X3] : ~ para(X2,X3,X2,X3) ),
introduced(definition,[new_symbols(definition,[spl29_1])],[avatar_definition]) ).
fof(f440,plain,
( ! [X2,X3] : ~ para(X2,X3,X2,X3)
| ~ spl29_1 ),
inference(avatar_component_clause,[],[f439]) ).
fof(f442,definition,
( spl29_2
<=> ! [X0,X1] : para(X0,X1,X0,X1) ),
introduced(definition,[new_symbols(definition,[spl29_2])],[avatar_definition]) ).
fof(f443,plain,
( ! [X0,X1] : para(X0,X1,X0,X1)
| ~ spl29_2 ),
inference(avatar_component_clause,[],[f442]) ).
fof(f444,plain,
( spl29_1
| spl29_2 ),
inference(avatar_split_clause,[],[f437,f442,f439]) ).
fof(f451,plain,
! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| coll(X1,X2,X0)
| ~ para(X1,X0,X1,X0) ),
inference(resolution,[],[f312,f416]) ).
fof(f454,plain,
! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ para(X1,X0,X1,X0) ),
inference(forward_subsumption_resolution,[],[f451,f428]) ).
fof(f457,plain,
( ! [X2,X0,X1] : cyclic(X0,X0,X1,X2)
| ~ spl29_2 ),
inference(forward_subsumption_resolution,[],[f454,f443]) ).
fof(f458,plain,
( ! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) )
| ~ spl29_2 ),
inference(resolution,[],[f457,f287]) ).
fof(f464,plain,
( ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3)
| ~ spl29_2 ),
inference(forward_subsumption_resolution,[],[f458,f457]) ).
fof(f467,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| cong(X0,X1,X0,X1) )
| ~ spl29_2 ),
inference(resolution,[],[f464,f393]) ).
fof(f468,plain,
( ! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| ~ para(X2,X0,X2,X3)
| ~ cyclic(X0,X1,X2,X2)
| cong(X0,X1,X3,X1) )
| ~ spl29_2 ),
inference(resolution,[],[f464,f394]) ).
fof(f469,plain,
( ! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| ~ para(X2,X0,X2,X3)
| cong(X0,X1,X3,X1) )
| ~ spl29_2 ),
inference(forward_subsumption_resolution,[],[f468,f464]) ).
fof(f470,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| cong(X0,X1,X0,X1) )
| ~ spl29_2 ),
inference(forward_subsumption_resolution,[],[f467,f464]) ).
fof(f471,plain,
( ! [X2,X3,X0,X1] :
( ~ para(X2,X0,X2,X3)
| cong(X0,X1,X3,X1) )
| ~ spl29_2 ),
inference(forward_subsumption_resolution,[],[f469,f464]) ).
fof(f472,plain,
( ! [X0,X1] : cong(X0,X1,X0,X1)
| ~ spl29_2 ),
inference(forward_subsumption_resolution,[],[f470,f464]) ).
fof(f473,plain,
( ! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X1)
| perp(X0,X0,X1,X2) )
| ~ spl29_2 ),
inference(resolution,[],[f472,f327]) ).
fof(f474,plain,
( ! [X2,X0,X1] : perp(X0,X0,X1,X2)
| ~ spl29_2 ),
inference(forward_subsumption_resolution,[],[f473,f472]) ).
fof(f475,plain,
( ! [X2,X0,X1] : perp(X0,X1,X2,X2)
| ~ spl29_2 ),
inference(resolution,[],[f474,f278]) ).
fof(f519,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK20,sK21)
| para(X0,X1,sK22,sK23) ),
inference(resolution,[],[f279,f390]) ).
fof(f521,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ perp(X0,X1,X2,X2)
| para(X0,X1,X3,X4) )
| ~ spl29_2 ),
inference(resolution,[],[f279,f474]) ).
fof(f524,plain,
( ! [X3,X0,X1,X4] : para(X0,X1,X3,X4)
| ~ spl29_2 ),
inference(forward_subsumption_resolution,[],[f521,f475]) ).
fof(f526,plain,
( ! [X2,X0,X1] : cong(X0,X1,X2,X1)
| ~ spl29_2 ),
inference(resolution,[],[f524,f471]) ).
fof(f529,plain,
( ! [X2,X0,X1] : cong(X0,X1,X1,X2)
| ~ spl29_2 ),
inference(resolution,[],[f526,f293]) ).
fof(f537,plain,
( ! [X2,X0,X1] : cong(X0,X1,X2,X0)
| ~ spl29_2 ),
inference(resolution,[],[f529,f294]) ).
fof(f543,plain,
( ! [X2,X0,X1] : cong(X0,X1,X0,X2)
| ~ spl29_2 ),
inference(resolution,[],[f537,f293]) ).
fof(f551,plain,
( $false
| ~ spl29_2 ),
inference(resolution,[],[f543,f391]) ).
fof(f552,plain,
~ spl29_2,
inference(avatar_contradiction_clause,[],[f551]) ).
fof(f553,plain,
para(sK22,sK23,sK22,sK23),
inference(resolution,[],[f519,f431]) ).
fof(f554,plain,
( $false
| ~ spl29_1 ),
inference(forward_subsumption_resolution,[],[f553,f440]) ).
fof(f555,plain,
~ spl29_1,
inference(avatar_contradiction_clause,[],[f554]) ).
cnf(s1,plain,
( spl29_1
| spl29_2 ),
inference(sat_conversion,[],[f444]) ).
cnf(s2,plain,
~ spl29_2,
inference(sat_conversion,[],[f552]) ).
cnf(s3,plain,
~ spl29_1,
inference(sat_conversion,[],[f555]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f556,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO587+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 % Computer : n018.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 08:36:39 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.44 Running first-order theorem proving
% 0.12/0.44 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.10/1.96 % (2032687)Detected formulas, will run a generic FOF schedule.
% 6.10/1.96 % (2032698)dis-21_1_sil=8000:lcm=predicate:random_seed=2060108989:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 6.10/1.96 % (2032693)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3367376938:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.10/1.96 % (2032696)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2136392541:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.10/1.96 % (2032694)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=891094388:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.10/1.96 % (2032692)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2028769469:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.10/1.96 % (2032695)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1176218230:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.10/1.96 % (2032697)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=532629761:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.10/1.96 % (2032698)Instruction limit reached!
% 6.10/1.96 % (2032698)------------------------------
% 6.10/1.96 % (2032698)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.96 % (2032698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.96 % (2032698)CaDiCaL version: 2.1.3
% 6.10/1.96 % (2032698)Termination reason: Instruction limit
% 6.10/1.96 % (2032698)Termination phase: Saturation
% 6.10/1.96 % (2032698)Time elapsed: 0.041 s
% 6.10/1.96 % (2032698)Peak memory usage: 90 MB
% 6.10/1.96 % (2032698)Instructions burned: 130 (million)
% 6.10/1.96 % (2032695)Instruction limit reached!
% 6.10/1.96 % (2032695)------------------------------
% 6.10/1.96 % (2032695)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.96 % (2032695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.96 % (2032695)CaDiCaL version: 2.1.3
% 6.10/1.96 % (2032695)Termination reason: Instruction limit
% 6.10/1.96 % (2032695)Termination phase: Saturation
% 6.10/1.96 % (2032695)Time elapsed: 0.066 s
% 6.10/1.96 % (2032695)Peak memory usage: 90 MB
% 6.10/1.96 % (2032695)Instructions burned: 110 (million)
% 6.10/1.96 % (2032696)Instruction limit reached!
% 6.10/1.96 % (2032696)------------------------------
% 6.10/1.96 % (2032696)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.96 % (2032696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.96 % (2032696)CaDiCaL version: 2.1.3
% 6.10/1.96 % (2032696)Termination reason: Instruction limit
% 6.10/1.96 % (2032696)Termination phase: Saturation
% 6.10/1.96 % (2032696)Time elapsed: 0.071 s
% 6.10/1.96 % (2032696)Peak memory usage: 88 MB
% 6.10/1.96 % (2032696)Instructions burned: 121 (million)
% 6.10/1.96 % (2032697)Instruction limit reached!
% 6.10/1.96 % (2032697)------------------------------
% 6.10/1.96 % (2032697)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.96 % (2032697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.96 % (2032697)CaDiCaL version: 2.1.3
% 6.10/1.96 % (2032697)Termination reason: Instruction limit
% 6.10/1.96 % (2032697)Termination phase: Saturation
% 6.10/1.96 % (2032697)Time elapsed: 0.095 s
% 6.10/1.96 % (2032697)Peak memory usage: 90 MB
% 6.10/1.96 % (2032697)Instructions burned: 139 (million)
% 6.10/1.96 % (2032706)lrs+10_1_sil=8000:sp=occurrence:random_seed=2607466050:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.10/1.96 % (2032706)Instruction limit reached!
% 6.10/1.96 % (2032706)------------------------------
% 6.10/1.96 % (2032706)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.96 % (2032706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.96 % (2032706)CaDiCaL version: 2.1.3
% 6.10/1.96 % (2032706)Termination reason: Instruction limit
% 6.10/1.96 % (2032706)Termination phase: Saturation
% 6.10/1.96 % (2032706)Time elapsed: 0.099 s
% 6.10/1.96 % (2032706)Peak memory usage: 92 MB
% 6.10/1.96 % (2032706)Instructions burned: 287 (million)
% 6.10/1.96 % (2032707)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4274065108:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.10/1.96 % (2032708)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2035628303:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.10/1.96 % (2032710)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3590210597:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.10/1.96 % (2032707)Instruction limit reached!
% 6.10/1.96 % (2032707)------------------------------
% 6.10/1.96 % (2032707)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.96 % (2032707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.96 % (2032707)CaDiCaL version: 2.1.3
% 6.10/1.96 % (2032707)Termination reason: Instruction limit
% 6.10/1.96 % (2032707)Termination phase: Saturation
% 6.10/1.96 % (2032707)Time elapsed: 0.083 s
% 6.10/1.96 % (2032707)Peak memory usage: 90 MB
% 6.10/1.96 % (2032707)Instructions burned: 158 (million)
% 6.10/1.96 % (2032713)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2444057709:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 6.10/1.96 % (2032710)Instruction limit reached!
% 6.10/1.96 % (2032710)------------------------------
% 6.10/1.96 % (2032710)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.96 % (2032710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.96 % (2032710)CaDiCaL version: 2.1.3
% 6.10/1.96 % (2032710)Termination reason: Instruction limit
% 6.10/1.96 % (2032710)Termination phase: Saturation
% 6.10/1.96 % (2032710)Time elapsed: 0.129 s
% 6.10/1.96 % (2032710)Peak memory usage: 92 MB
% 6.10/1.96 % (2032710)Instructions burned: 249 (million)
% 6.10/1.96 % (2032713)Instruction limit reached!
% 6.10/1.96 % (2032713)------------------------------
% 6.10/1.96 % (2032713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.96 % (2032713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.96 % (2032713)CaDiCaL version: 2.1.3
% 6.10/1.96 % (2032713)Termination reason: Instruction limit
% 6.10/1.96 % (2032713)Termination phase: Saturation
% 6.10/1.96 % (2032713)Time elapsed: 0.088 s
% 6.10/1.96 % (2032713)Peak memory usage: 89 MB
% 6.10/1.96 % (2032713)Instructions burned: 297 (million)
% 6.10/1.96 % (2032708)Instruction limit reached!
% 6.10/1.96 % (2032708)------------------------------
% 6.10/1.96 % (2032708)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.96 % (2032708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.96 % (2032708)CaDiCaL version: 2.1.3
% 6.10/1.96 % (2032708)Termination reason: Instruction limit
% 6.10/1.96 % (2032708)Termination phase: Saturation
% 6.10/1.96 % (2032708)Time elapsed: 0.212 s
% 6.10/1.96 % (2032708)Peak memory usage: 92 MB
% 6.10/1.96 % (2032708)Instructions burned: 325 (million)
% 6.10/1.96 % (2032716)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2881267780:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.10/1.96 % (2032718)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=568182004:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.10/1.96 % (2032717)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2129220697:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.10/1.96 % (2032718)Instruction limit reached!
% 6.10/1.96 % (2032718)------------------------------
% 6.10/1.96 % (2032718)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.96 % (2032718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.96 % (2032718)CaDiCaL version: 2.1.3
% 6.10/1.96 % (2032718)Termination reason: Instruction limit
% 6.10/1.96 % (2032718)Termination phase: Saturation
% 6.10/1.96 % (2032718)Time elapsed: 0.039 s
% 6.10/1.96 % (2032718)Peak memory usage: 89 MB
% 6.10/1.96 % (2032718)Instructions burned: 128 (million)
% 6.10/1.96 % (2032719)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2713264037:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 6.10/1.96 % (2032717)Instruction limit reached!
% 6.10/1.96 % (2032717)------------------------------
% 6.10/1.96 % (2032717)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.96 % (2032717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.96 % (2032717)CaDiCaL version: 2.1.3
% 6.10/1.96 % (2032717)Termination reason: Instruction limit
% 6.10/1.96 % (2032717)Termination phase: Saturation
% 6.10/1.96 % (2032717)Time elapsed: 0.067 s
% 6.10/1.96 % (2032717)Peak memory usage: 89 MB
% 6.10/1.96 % (2032717)Instructions burned: 113 (million)
% 6.10/1.96 % (2032723)lrs+10_1_sil=8000:sp=occurrence:random_seed=4117163823:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 6.10/1.96 % (2032719)Instruction limit reached!
% 6.10/1.96 % (2032719)------------------------------
% 6.10/1.96 % (2032719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.96 % (2032719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.96 % (2032719)CaDiCaL version: 2.1.3
% 6.10/1.96 % (2032719)Termination reason: Instruction limit
% 6.10/1.96 % (2032719)Termination phase: Saturation
% 6.10/1.96 % (2032719)Time elapsed: 0.064 s
% 6.10/1.96 % (2032719)Peak memory usage: 89 MB
% 6.10/1.96 % (2032719)Instructions burned: 115 (million)
% 6.10/1.96 % (2032692)First to succeed.
% 6.10/1.96 % (2032692)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2032687"
% 6.10/1.96 % (2032725)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2488587164:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 6.10/1.96 % (2032727)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2872955006:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 6.10/1.96 % (2032693)Also succeeded, but the first one will report.
% 6.10/1.96 % (2032723)Instruction limit reached!
% 6.10/1.96 % (2032723)------------------------------
% 6.10/1.96 % (2032723)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.96 % (2032723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.96 % (2032723)CaDiCaL version: 2.1.3
% 6.10/1.96 % (2032723)Termination reason: Instruction limit
% 6.10/1.96 % (2032723)Termination phase: Saturation
% 6.10/1.96 % (2032723)Time elapsed: 0.297 s
% 6.10/1.96 % (2032723)Peak memory usage: 99 MB
% 6.10/1.96 % (2032723)Instructions burned: 910 (million)
% 6.10/1.96 % (2032692)Refutation found. Thanks to Tanya!
% 6.10/1.96 % SZS status Theorem for theBenchmark
% 6.10/1.96 % SZS output start Proof for theBenchmark
% See solution above
% 8.22/2.15 % (2032692)------------------------------
% 8.22/2.15 % (2032692)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.22/2.15 % (2032692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.22/2.15 % (2032692)CaDiCaL version: 2.1.3
% 8.22/2.15 % (2032692)Termination reason: Refutation
% 8.22/2.15 % (2032692)Time elapsed: 0.665 s
% 8.22/2.15 % (2032692)Peak memory usage: 130 MB
% 8.22/2.15 % (2032692)Instructions burned: 991 (million)
% 8.22/2.15 % (2032692)------------------------------
% 8.22/2.15 % (2032692)------------------------------
% 8.22/2.15 % (2032687)Success in time 1.079 s
% 8.22/2.15 % Vampire exiting
%------------------------------------------------------------------------------